A rice store estimates that if it sells each pack of rice forxdollars, then the projected number of packssold daily is 240-10x. What is the price per pack that maximizes its daily profit?

Price per pack = 12

Step-by-step explanation:

The profit can be calculated as the product of the price by the quantity sold:

P = x * (240-10x)

P = - 10x^2 + 240x

To find the maximum of this quadratic function, we can use the formula to find the vertix:

x_v = - b/2a

Where a and b are coefficients of the quadratic equation (a = - 10 and b = 240)

x_v = - 240 / (-20) = 12

Now, we use this value to find the maximum profit:

P_max = - 10 * (12) ^2 + 240*12 = 1440